Question

A pyramid with a triangular base has a volume of 50cm^3. If the base and the height of the triangular base are 5cm and 8cm respectively, find the height of the pyrami

Answer 1

Volume of Tetrahedron (Triangular Pyramid)

$= \dfrac{1}{3} \times ( Area \: of \: Base ) \times h_{p} = 50 {cm}^{3}$

$\implies \dfrac{1}{3} \times \dfrac{5 \times 8}{2} \times h_{p} = 50 {cm}^{3}$

$\implies \boxed{h_{p} = 7.5cm}$

Hence, the Height of the Pyramid is $7.5cm$